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james bond has a car in the shape of cylinder if the can measures 30 cm high and has a base with a radius of 10cm . how much water can it hold​

Sagot :

BinibiningDelidn

Volume

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James Bond has a can in the shape of cylinder. If the can measures 30cm high and has a base with a radius of 10cm. How much water can it hold?

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Find the volume of the can

Formula: [tex]\large \bold{\green{V=\pi r^2h}}[/tex]

[tex]\large \begin{aligned} \sf Solution: \ & \sf V=\pi r^2h \\ \ & \sf V=3.14(10cm)^2 \times 30cm \\ \ & \sf V=3.14 \times 100cm^2 \times 30cm \\ \ & \sf V=314cm^2 \times 30cm \\ \ & \sf V=\bold{\blue{9420 \ cm^3}} \end{aligned}[/tex]

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Convert cubic centimeters to liters

[tex]\large \textsf{1 cubic centimeter = 0.001 liters}[/tex]

[tex]\large \sf 9420 \ cubic \ centimeter \ = \ 9420 \times 0.001 \ liters[/tex]

[tex]\large \sf 9420 \ cubic \ centimeter = \bold{\purple{9.42 \ liters}}[/tex]

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Answer:

The can can hold [tex]\ \boxed{\bold{\purple{\Large 9.42 \ \ liters}}} \ [/tex] of water.

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